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Finding the Fourth Proportional to 101,911.08, 152,180.37 and 83,228.20

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Solution

The fourth proportional to 101,911.08, 152,180.37 and 83,228.20 is: 124,281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,911.08 : 152,180.37 = 83,228.20 : x
  2. Step 2: Convert to fraction form
    101,911.08/152,180.37 = 83,228.20/x
  3. Step 3: Cross multiply
    101,911.08x = 152,180.37 × 83,228.20
  4. Step 4: Simplify right side
    101,911.08x = 12,665,697,854.29
  5. Step 5: Solve for x
    x = 12,665,697,854.29/101,911.08
  6. Step 6: Final answer
    x = 124,281.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.